Linear Kinematics - Acceleration Contents: Definition of acceleration Acceleration Example | WhiteboardExample Whiteboard Example | WhiteboardExample Whiteboard.

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Presentation transcript:

Linear Kinematics - Acceleration Contents: Definition of acceleration Acceleration Example | WhiteboardExample Whiteboard Example | WhiteboardExample Whiteboard

Linear Kinematics - TOC v = s/t - time rate change of position (m/s) a =  v/t - time rate change of velocity (m/s/s)  v - Change in velocity (in m/s) a - acceleration (in m/s/s) Example: A car goes from 0 to 27 m/s in 9.0 seconds, what is its acceleration? (show math, units, meaning, m/s/s, m/s 2, ms -2 ) a =  v/t, a = (27 m/s)/(9.0 s) = 3.0 m/s/s

Example: a =  v/t A rocket accelerates at 4.5 “g” s. What time will it take to reach the speed of sound (Mach I = 343 m/s) from rest? 1 “g” = 9.81 m/s/s so 4.5 “g”s = (4.5)(9.81 m/s/s) = m/s/s a =  v/t, m/s/s = (343 m/s)/t t = … t = 7.8 s TOC

Sig Figs x 10 4 TOC

Sig Figs x people in a class 50,000 at a rally TOC

Whiteboards: Acceleration 11 | 2 | 3 | 4 | TOC

A car speeds up from 0 to 21 m/s in 5.3 seconds. What is their acceleration? a =  v/t a = (21 m/s)/(5.3 s) = m/s/s 4.0 m/s/s W

A train can accelerate at 0.15 m/s/s. What time will it take to reach its top speed of 24 m/s from rest? 160 s W a =  v/t  v = 24 m/s, a =.15 m/s/s,.:. t = 160 s 160 s

What is the final speed if a person accelerates from rest at 32 f/s/s for 2.7 seconds? 86 f/s W a =  v/t t = 2.7 s, a = 32 f/s/s,.:.  v = 86.4 f/s 86 f/s

What is your acceleration if your velocity goes from 35 m/s to 20. m/s in 4.7 seconds? -3.2 m/s/s W a =  v/t  v = -15 m/s, t = 4.7 s,.:. a = m/s/s

What is your final velocity if you are going 12 m/s and you accelerate at.48 m/s/s for the next 16 seconds? 20. m/s W a =  v/t a =.48 m/s/s, t = 16 s,.:.  v = 7.68 m/s 12 m/s m/s = m/s 20. m/s

Consider the last problem: 12 m/s m/s = m/s u + at = v New formula: v = u + at u - initial velocity v - final velocity a - acceleration t - time elapsed Show + and - acceleration with + and - velocity and accelerometer TOC

Whiteboards: v = u + at 11 | 2 | 3 | 4 | TOC

A car going 24.8 m/s decelerates at m/s/s for 1.67 s. What is its final velocity? v = u + at u = 24.8 m/s, a = m/s/s, t = 1.67 s.:. v = m/s 20.7 m/s W

What is the acceleration of a ball that goes from 12.5 m/s to 17.8 m/s in 2.5 seconds? v = u + at u = 12.5 m/s, v = 17.8 m/s, t = 2.5 s.:. a = 2.12 m/s/s 2.1 m/s/s W

A cop clocks a car going 22.4 m/s after having accelerated at m/s/s for the last 3.4 seconds. What was the initial velocity of the car? v = u + at v = 22.4 m/s, a = m/s/s, t = 3.4 s.:. u = m/s 48 m/s W

What time will it take a train to slow from 23.2 m/s to 14.8 m/s if the acceleration is -1.2 m/s/s? v = u + at u = 23.2 m/s, v = 14.8 m/s, a = -1.2 m/s/s,.:. t = 7 s 7.0 s W

A pitcher throws a ball at 34.2 m/s. The batter hits a line drive, hitting the ball 45.1 m/s back toward the pitcher. If the ball was in contact with the bat for seconds, what was its acceleration during that time? (Make the original direction the ball was traveling positive) v = u + at u = m/s, v = m/s, t =.2153 s,.:. a = m/s/s -368 m/s/s W